Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...

Graph colouring, the assignment of colours to the vertices of a graph so that no two adjacent vertices share the same colour, represents a canonical NP-hard combinatorial optimisation problem with ...

Graph-based algorithms form the backbone of contemporary social network analysis by modelling individuals or entities as vertices and their relationships as edges in a graph. This abstraction enables ...